sinh(x)
------------ + log(cosh(x))*sinh(x) + sinh(x)
2
1 + cosh (x)
$$\log{\left(\cosh{\left(x \right)} \right)} \sinh{\left(x \right)} + \sinh{\left(x \right)} + \frac{\sinh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1}$$
2 2
cosh(x) sinh (x) 2*sinh (x)*cosh(x)
------------ + -------- + cosh(x)*log(cosh(x)) - ------------------ + cosh(x)
2 cosh(x) 2
1 + cosh (x) / 2 \
\1 + cosh (x)/
$$\log{\left(\cosh{\left(x \right)} \right)} \cosh{\left(x \right)} + \frac{\sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)}} + \cosh{\left(x \right)} + \frac{\cosh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1} - \frac{2 \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}}$$
/ 2 2 2 2 2 \
| 1 sinh (x) 6*cosh (x) 2*sinh (x) 8*cosh (x)*sinh (x) |
|4 + ------------ - -------- - --------------- - --------------- + ------------------- + log(cosh(x))|*sinh(x)
| 2 2 2 2 3 |
| 1 + cosh (x) cosh (x) / 2 \ / 2 \ / 2 \ |
\ \1 + cosh (x)/ \1 + cosh (x)/ \1 + cosh (x)/ /
$$\left(\log{\left(\cosh{\left(x \right)} \right)} - \frac{\sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} + 4 + \frac{1}{\cosh^{2}{\left(x \right)} + 1} - \frac{2 \sinh^{2}{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}} - \frac{6 \cosh^{2}{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}} + \frac{8 \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{3}}\right) \sinh{\left(x \right)}$$